Recursion at the crossroads of sequence modeling, random trees, stochastic algorithms and martingales
type: Dataset
description: This monograph synthesizes several studies spanning from dynamical systems in the statistical analysis of sequences, to analysis of algorithms in random trees and discrete stochastic processes. These works find applications in various fields ranging from biological sequences to linear regression models, branching processes, through functional statistics and estimates of risk indicators for insurances. All the established results use, in one way or another, the recursive property of the structure under study, by highlighting invariants such as martingales, which are at the heart of this monograph, as tools as well as objects of study.
issued: 2026-05-06T04:14:47.368317
language: fr
modified: 2026-05-06T04:14:47.368321
contact point: Organization
  fn: CCSD
keyword: algorithmes-de-gradient-stochastiques
keyword: arbres-digitaux-de-recherche
keyword: auto-regressive-models
keyword: chaine-de-markov-a-memoire-variable
keyword: digital-search-trees
keyword: dynamical-system
keyword: erreur-destimation-et-de-prediction
keyword: estimation-and-prediction-error
keyword: habilitation-a-diriger-des-recherches
keyword: infoeu-reposemanticsother
keyword: lois-fortes-de-martingales-discretes
keyword: mathmath-prmathematics-mathprobability-mathpr
keyword: mathmath-stmathematics-mathstatistics-mathst
keyword: modeles-auto-regressifs
keyword: occurrences-time
keyword: optimisation-stochastique
keyword: statthstatistics-statstatistics-theory-statth
keyword: stochastic-gradient-algorithms
keyword: stochastic-optimization
keyword: strong-laws-for-discrete-martingales
keyword: suffix-trie
keyword: systeme-dynamique
keyword: temps-doccurrences-de-motifs
keyword: trie-des-suffixes
keyword: variable-length-markov-chain
landing page: https://theses.hal.science/tel-00954528

Recursion at the crossroads of sequence modeling, random trees, stochastic algorithms and martingales
type: Distribution
format: HTML
issued: 2026-05-06T04:14:47.408401
modified: 2026-05-06T04:14:47.328204
access URL: https://theses.hal.science/tel-00954528

test_moissonnage_selune
type: Agent